When \(16\frac{2}{3}\%\) of a number is added to the number, the result is 4956. Find the number.
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 4248
\(16\frac{2}{3}\%\) is the fraction \(\frac{1}{6}\), so adding it to the number gives \(\frac{7}{6}\) of the number.
\(\displaystyle x+\frac{x}{6}=\frac{7x}{6}=4956\)
\(\displaystyle x=\frac{4956\times6}{7}=708\times6=4248\)
The number is 4248.